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Finding the Third Proportional to 321,209 and 691,750

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Solution

The third proportional to 321,209 and 691,750 is: 1,489,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,209 : 691,750 = 691,750 : x
  2. Step 2: Convert to fraction form
    321,209/691,750 = 691,750/x
  3. Step 3: Cross multiply
    321,209x = 691,750 × 691,750
  4. Step 4: Simplify right side
    321,209x = 478,518,062,500
  5. Step 5: Solve for x
    x = 478,518,062,500/321,209
  6. Step 6: Final answer
    x = 1,489,740.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.